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395328038670 = 234517227126473
BaseRepresentation
bin1011100000010110110…
…00110010011100001110
31101210102002110010220000
411300023120302130032
522434112434214140
6501340003505130
740363411612335
oct5601330623416
91353362403800
10395328038670
1114272640a734
126474a6881a6
132b382746896
14151c38d2d1c
15a43b68da30
hex5c0b63270e

395328038670 has 160 divisors (see below), whose sum is σ = 1130489366688. Its totient is φ = 98781714432.

The previous prime is 395328038647. The next prime is 395328038671. The reversal of 395328038670 is 76830823593.

395328038670 is a `hidden beast` number, since 3 + 9 + 532 + 8 + 0 + 38 + 6 + 70 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (395328038671) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 3062554 + ... + 3189026.

Almost surely, 2395328038670 is an apocalyptic number.

395328038670 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 395328038670, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (565244683344).

395328038670 is an abundant number, since it is smaller than the sum of its proper divisors (735161328018).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

395328038670 is a wasteful number, since it uses less digits than its factorization.

395328038670 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 126736 (or 126727 counting only the distinct ones).

The product of its (nonzero) digits is 6531840, while the sum is 54.

The spelling of 395328038670 in words is "three hundred ninety-five billion, three hundred twenty-eight million, thirty-eight thousand, six hundred seventy".

Divisors: 1 2 3 5 6 9 10 15 17 18 27 30 34 45 51 54 81 85 90 102 135 153 162 170 227 255 270 306 405 454 459 510 681 765 810 918 1135 1362 1377 1530 2043 2270 2295 2754 3405 3859 4086 4590 6129 6810 6885 7718 10215 11577 12258 13770 18387 19295 20430 23154 30645 34731 36774 38590 57885 61290 69462 91935 104193 115770 126473 173655 183870 208386 252946 312579 347310 379419 520965 625158 632365 758838 1041930 1138257 1264730 1562895 1897095 2150041 2276514 3125790 3414771 3794190 4300082 5691285 6450123 6829542 10244313 10750205 11382570 12900246 17073855 19350369 20488626 21500410 28709371 32250615 34147710 38700738 51221565 57418742 58051107 64501230 86128113 96751845 102443130 116102214 143546855 172256226 174153321 193503690 258384339 287093710 290255535 348306642 430640565 488059307 516768678 580511070 775153017 861281130 870766605 976118614 1291921695 1464177921 1550306034 1741533210 2325459051 2440296535 2583843390 2928355842 3875765085 4392533763 4650918102 4880593070 7320889605 7751530170 8785067526 11627295255 13177601289 14641779210 21962668815 23254590510 26355202578 39532803867 43925337630 65888006445 79065607734 131776012890 197664019335 395328038670